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Finding the Fourth Proportional to 77,985.60, 116,978.40 and 48,307.20

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Solution

The fourth proportional to 77,985.60, 116,978.40 and 48,307.20 is: 72,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.60 : 116,978.40 = 48,307.20 : x
  2. Step 2: Convert to fraction form
    77,985.60/116,978.40 = 48,307.20/x
  3. Step 3: Cross multiply
    77,985.60x = 116,978.40 × 48,307.20
  4. Step 4: Simplify right side
    77,985.60x = 5,650,898,964.48
  5. Step 5: Solve for x
    x = 5,650,898,964.48/77,985.60
  6. Step 6: Final answer
    x = 72,460.80

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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.