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Finding the Fourth Proportional to 87,313.31, 130,970.70 and 47,848.91

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Solution

The fourth proportional to 87,313.31, 130,970.70 and 47,848.91 is: 71,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,313.31 : 130,970.70 = 47,848.91 : x
  2. Step 2: Convert to fraction form
    87,313.31/130,970.70 = 47,848.91/x
  3. Step 3: Cross multiply
    87,313.31x = 130,970.70 × 47,848.91
  4. Step 4: Simplify right side
    87,313.31x = 6,266,805,236.94
  5. Step 5: Solve for x
    x = 6,266,805,236.94/87,313.31
  6. Step 6: Final answer
    x = 71,773.77

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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.