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Finding the Fourth Proportional to 152,136.70, 228,205.05 and 99,259.90

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Solution

The fourth proportional to 152,136.70, 228,205.05 and 99,259.90 is: 148,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,136.70 : 228,205.05 = 99,259.90 : x
  2. Step 2: Convert to fraction form
    152,136.70/228,205.05 = 99,259.90/x
  3. Step 3: Cross multiply
    152,136.70x = 228,205.05 × 99,259.90
  4. Step 4: Simplify right side
    152,136.70x = 22,651,610,442.50
  5. Step 5: Solve for x
    x = 22,651,610,442.50/152,136.70
  6. Step 6: Final answer
    x = 148,889.85

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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.