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Finding the Fourth Proportional to 155,898.86, 233,673.32 and 77,068.44

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Solution

The fourth proportional to 155,898.86, 233,673.32 and 77,068.44 is: 115,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,898.86 : 233,673.32 = 77,068.44 : x
  2. Step 2: Convert to fraction form
    155,898.86/233,673.32 = 77,068.44/x
  3. Step 3: Cross multiply
    155,898.86x = 233,673.32 × 77,068.44
  4. Step 4: Simplify right side
    155,898.86x = 18,008,838,434.69
  5. Step 5: Solve for x
    x = 18,008,838,434.69/155,898.86
  6. Step 6: Final answer
    x = 115,516.17

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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.