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Finding the Fourth Proportional to 87,368.86, 130,830.94 and 57,742.30

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Solution

The fourth proportional to 87,368.86, 130,830.94 and 57,742.30 is: 86,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,368.86 : 130,830.94 = 57,742.30 : x
  2. Step 2: Convert to fraction form
    87,368.86/130,830.94 = 57,742.30/x
  3. Step 3: Cross multiply
    87,368.86x = 130,830.94 × 57,742.30
  4. Step 4: Simplify right side
    87,368.86x = 7,554,479,386.76
  5. Step 5: Solve for x
    x = 7,554,479,386.76/87,368.86
  6. Step 6: Final answer
    x = 86,466.50

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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.