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Finding the Fourth Proportional to 155,898.98, 233,673.51 and 77,068.57

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Solution

The fourth proportional to 155,898.98, 233,673.51 and 77,068.57 is: 115,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,898.98 : 233,673.51 = 77,068.57 : x
  2. Step 2: Convert to fraction form
    155,898.98/233,673.51 = 77,068.57/x
  3. Step 3: Cross multiply
    155,898.98x = 233,673.51 × 77,068.57
  4. Step 4: Simplify right side
    155,898.98x = 18,008,882,094.21
  5. Step 5: Solve for x
    x = 18,008,882,094.21/155,898.98
  6. Step 6: Final answer
    x = 115,516.36

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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.