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Finding the Fourth Proportional to 144,165.39, 216,248.10 and 65,277.87

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Solution

The fourth proportional to 144,165.39, 216,248.10 and 65,277.87 is: 97,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165.39 : 216,248.10 = 65,277.87 : x
  2. Step 2: Convert to fraction form
    144,165.39/216,248.10 = 65,277.87/x
  3. Step 3: Cross multiply
    144,165.39x = 216,248.10 × 65,277.87
  4. Step 4: Simplify right side
    144,165.39x = 14,116,215,359.55
  5. Step 5: Solve for x
    x = 14,116,215,359.55/144,165.39
  6. Step 6: Final answer
    x = 97,916.81

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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.