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Finding the Fourth Proportional to 87,089.40, 130,415.40 and 57,346.20

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Solution

The fourth proportional to 87,089.40, 130,415.40 and 57,346.20 is: 85,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,089.40 : 130,415.40 = 57,346.20 : x
  2. Step 2: Convert to fraction form
    87,089.40/130,415.40 = 57,346.20/x
  3. Step 3: Cross multiply
    87,089.40x = 130,415.40 × 57,346.20
  4. Step 4: Simplify right side
    87,089.40x = 7,478,827,611.48
  5. Step 5: Solve for x
    x = 7,478,827,611.48/87,089.40
  6. Step 6: Final answer
    x = 85,875.29

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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.