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Finding the Fourth Proportional to 145,847.50, 201,269.58 and 78,779.50

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Solution

The fourth proportional to 145,847.50, 201,269.58 and 78,779.50 is: 108,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847.50 : 201,269.58 = 78,779.50 : x
  2. Step 2: Convert to fraction form
    145,847.50/201,269.58 = 78,779.50/x
  3. Step 3: Cross multiply
    145,847.50x = 201,269.58 × 78,779.50
  4. Step 4: Simplify right side
    145,847.50x = 15,855,916,877.61
  5. Step 5: Solve for x
    x = 15,855,916,877.61/145,847.50
  6. Step 6: Final answer
    x = 108,715.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.