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Finding the Fourth Proportional to 96,471.60, 144,707.40 and 64,978.80

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Solution

The fourth proportional to 96,471.60, 144,707.40 and 64,978.80 is: 97,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471.60 : 144,707.40 = 64,978.80 : x
  2. Step 2: Convert to fraction form
    96,471.60/144,707.40 = 64,978.80/x
  3. Step 3: Cross multiply
    96,471.60x = 144,707.40 × 64,978.80
  4. Step 4: Simplify right side
    96,471.60x = 9,402,913,203.12
  5. Step 5: Solve for x
    x = 9,402,913,203.12/96,471.60
  6. Step 6: Final answer
    x = 97,468.20

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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.