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Finding the Fourth Proportional to 102,587.80, 153,978.90 and 87,813.40

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Solution

The fourth proportional to 102,587.80, 153,978.90 and 87,813.40 is: 131,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,587.80 : 153,978.90 = 87,813.40 : x
  2. Step 2: Convert to fraction form
    102,587.80/153,978.90 = 87,813.40/x
  3. Step 3: Cross multiply
    102,587.80x = 153,978.90 × 87,813.40
  4. Step 4: Simplify right side
    102,587.80x = 13,521,410,737.26
  5. Step 5: Solve for x
    x = 13,521,410,737.26/102,587.80
  6. Step 6: Final answer
    x = 131,803.30

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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.