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Finding the Fourth Proportional to 287,052, 430,681.68 and 90,060

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Solution

The fourth proportional to 287,052, 430,681.68 and 90,060 is: 135,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,052 : 430,681.68 = 90,060 : x
  2. Step 2: Convert to fraction form
    287,052/430,681.68 = 90,060/x
  3. Step 3: Cross multiply
    287,052x = 430,681.68 × 90,060
  4. Step 4: Simplify right side
    287,052x = 38,787,192,100.80
  5. Step 5: Solve for x
    x = 38,787,192,100.80/287,052
  6. Step 6: Final answer
    x = 135,122.53

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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.