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Finding the Fourth Proportional to 156,978.23, 235,475.52 and 51,805.40

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Solution

The fourth proportional to 156,978.23, 235,475.52 and 51,805.40 is: 77,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.23 : 235,475.52 = 51,805.40 : x
  2. Step 2: Convert to fraction form
    156,978.23/235,475.52 = 51,805.40/x
  3. Step 3: Cross multiply
    156,978.23x = 235,475.52 × 51,805.40
  4. Step 4: Simplify right side
    156,978.23x = 12,198,903,503.81
  5. Step 5: Solve for x
    x = 12,198,903,503.81/156,978.23
  6. Step 6: Final answer
    x = 77,710.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.