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Finding the Fourth Proportional to 152,847, 210,948.30 and 85,779

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Solution

The fourth proportional to 152,847, 210,948.30 and 85,779 is: 118,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,847 : 210,948.30 = 85,779 : x
  2. Step 2: Convert to fraction form
    152,847/210,948.30 = 85,779/x
  3. Step 3: Cross multiply
    152,847x = 210,948.30 × 85,779
  4. Step 4: Simplify right side
    152,847x = 18,094,934,225.70
  5. Step 5: Solve for x
    x = 18,094,934,225.70/152,847
  6. Step 6: Final answer
    x = 118,385.93

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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.