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Finding the Fourth Proportional to 172,434.60, 258,184.53 and 89,153.64

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Solution

The fourth proportional to 172,434.60, 258,184.53 and 89,153.64 is: 133,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,434.60 : 258,184.53 = 89,153.64 : x
  2. Step 2: Convert to fraction form
    172,434.60/258,184.53 = 89,153.64/x
  3. Step 3: Cross multiply
    172,434.60x = 258,184.53 × 89,153.64
  4. Step 4: Simplify right side
    172,434.60x = 23,018,090,641.19
  5. Step 5: Solve for x
    x = 23,018,090,641.19/172,434.60
  6. Step 6: Final answer
    x = 133,488.82

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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.