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Finding the Fourth Proportional to 162,007.68, 243,000.72 and 77,828.16

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Solution

The fourth proportional to 162,007.68, 243,000.72 and 77,828.16 is: 116,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,007.68 : 243,000.72 = 77,828.16 : x
  2. Step 2: Convert to fraction form
    162,007.68/243,000.72 = 77,828.16/x
  3. Step 3: Cross multiply
    162,007.68x = 243,000.72 × 77,828.16
  4. Step 4: Simplify right side
    162,007.68x = 18,912,298,916.28
  5. Step 5: Solve for x
    x = 18,912,298,916.28/162,007.68
  6. Step 6: Final answer
    x = 116,737.05

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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.