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Finding the Fourth Proportional to 96,705.60, 144,904.80 and 81,038.40

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Solution

The fourth proportional to 96,705.60, 144,904.80 and 81,038.40 is: 121,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,705.60 : 144,904.80 = 81,038.40 : x
  2. Step 2: Convert to fraction form
    96,705.60/144,904.80 = 81,038.40/x
  3. Step 3: Cross multiply
    96,705.60x = 144,904.80 × 81,038.40
  4. Step 4: Simplify right side
    96,705.60x = 11,742,853,144.32
  5. Step 5: Solve for x
    x = 11,742,853,144.32/96,705.60
  6. Step 6: Final answer
    x = 121,428.88

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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.