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Finding the Fourth Proportional to 156,737.28, 216,359.10 and 105,780

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Solution

The fourth proportional to 156,737.28, 216,359.10 and 105,780 is: 146,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,737.28 : 216,359.10 = 105,780 : x
  2. Step 2: Convert to fraction form
    156,737.28/216,359.10 = 105,780/x
  3. Step 3: Cross multiply
    156,737.28x = 216,359.10 × 105,780
  4. Step 4: Simplify right side
    156,737.28x = 22,886,465,598
  5. Step 5: Solve for x
    x = 22,886,465,598/156,737.28
  6. Step 6: Final answer
    x = 146,018.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.