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Finding the Fourth Proportional to 287,120.94, 430,681.42 and 76,753.41

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Solution

The fourth proportional to 287,120.94, 430,681.42 and 76,753.41 is: 115,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,120.94 : 430,681.42 = 76,753.41 : x
  2. Step 2: Convert to fraction form
    287,120.94/430,681.42 = 76,753.41/x
  3. Step 3: Cross multiply
    287,120.94x = 430,681.42 × 76,753.41
  4. Step 4: Simplify right side
    287,120.94x = 33,056,266,089.53
  5. Step 5: Solve for x
    x = 33,056,266,089.53/287,120.94
  6. Step 6: Final answer
    x = 115,130.11

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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.