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Finding the Fourth Proportional to 287,666.42, 431,516.93 and 87,988.54

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Solution

The fourth proportional to 287,666.42, 431,516.93 and 87,988.54 is: 131,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,666.42 : 431,516.93 = 87,988.54 : x
  2. Step 2: Convert to fraction form
    287,666.42/431,516.93 = 87,988.54/x
  3. Step 3: Cross multiply
    287,666.42x = 431,516.93 × 87,988.54
  4. Step 4: Simplify right side
    287,666.42x = 37,968,543,797.16
  5. Step 5: Solve for x
    x = 37,968,543,797.16/287,666.42
  6. Step 6: Final answer
    x = 131,988.10

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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.