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Finding the Fourth Proportional to 89,097.80, 133,538.70 and 51,585.80

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Solution

The fourth proportional to 89,097.80, 133,538.70 and 51,585.80 is: 77,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,097.80 : 133,538.70 = 51,585.80 : x
  2. Step 2: Convert to fraction form
    89,097.80/133,538.70 = 51,585.80/x
  3. Step 3: Cross multiply
    89,097.80x = 133,538.70 × 51,585.80
  4. Step 4: Simplify right side
    89,097.80x = 6,888,700,670.46
  5. Step 5: Solve for x
    x = 6,888,700,670.46/89,097.80
  6. Step 6: Final answer
    x = 77,316.17

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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.