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Finding the Fourth Proportional to 48,275,978.40, 72,413,967.60 and 14,200,768.80

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Solution

The fourth proportional to 48,275,978.40, 72,413,967.60 and 14,200,768.80 is: 21,301,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,275,978.40 : 72,413,967.60 = 14,200,768.80 : x
  2. Step 2: Convert to fraction form
    48,275,978.40/72,413,967.60 = 14,200,768.80/x
  3. Step 3: Cross multiply
    48,275,978.40x = 72,413,967.60 × 14,200,768.80
  4. Step 4: Simplify right side
    48,275,978.40x = 1,028,334,011,778,290.88
  5. Step 5: Solve for x
    x = 1,028,334,011,778,290.88/48,275,978.40
  6. Step 6: Final answer
    x = 21,301,153.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.