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Finding the Fourth Proportional to 101,510.64, 152,265.96 and 31,388.40

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Solution

The fourth proportional to 101,510.64, 152,265.96 and 31,388.40 is: 47,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,510.64 : 152,265.96 = 31,388.40 : x
  2. Step 2: Convert to fraction form
    101,510.64/152,265.96 = 31,388.40/x
  3. Step 3: Cross multiply
    101,510.64x = 152,265.96 × 31,388.40
  4. Step 4: Simplify right side
    101,510.64x = 4,779,384,858.86
  5. Step 5: Solve for x
    x = 4,779,384,858.86/101,510.64
  6. Step 6: Final answer
    x = 47,082.60

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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.