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Finding the Fourth Proportional to 156,978.61, 235,476.08 and 51,805.78

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Solution

The fourth proportional to 156,978.61, 235,476.08 and 51,805.78 is: 77,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.61 : 235,476.08 = 51,805.78 : x
  2. Step 2: Convert to fraction form
    156,978.61/235,476.08 = 51,805.78/x
  3. Step 3: Cross multiply
    156,978.61x = 235,476.08 × 51,805.78
  4. Step 4: Simplify right side
    156,978.61x = 12,199,021,995.74
  5. Step 5: Solve for x
    x = 12,199,021,995.74/156,978.61
  6. Step 6: Final answer
    x = 77,711.36

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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.