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Finding the Fourth Proportional to 115,225.40, 172,967.70 and 89,046.20

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Solution

The fourth proportional to 115,225.40, 172,967.70 and 89,046.20 is: 133,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,225.40 : 172,967.70 = 89,046.20 : x
  2. Step 2: Convert to fraction form
    115,225.40/172,967.70 = 89,046.20/x
  3. Step 3: Cross multiply
    115,225.40x = 172,967.70 × 89,046.20
  4. Step 4: Simplify right side
    115,225.40x = 15,402,116,407.74
  5. Step 5: Solve for x
    x = 15,402,116,407.74/115,225.40
  6. Step 6: Final answer
    x = 133,669.45

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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.