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Finding the Fourth Proportional to 157,209.50, 216,948.74 and 85,590.02

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Solution

The fourth proportional to 157,209.50, 216,948.74 and 85,590.02 is: 118,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,209.50 : 216,948.74 = 85,590.02 : x
  2. Step 2: Convert to fraction form
    157,209.50/216,948.74 = 85,590.02/x
  3. Step 3: Cross multiply
    157,209.50x = 216,948.74 × 85,590.02
  4. Step 4: Simplify right side
    157,209.50x = 18,568,646,995.57
  5. Step 5: Solve for x
    x = 18,568,646,995.57/157,209.50
  6. Step 6: Final answer
    x = 118,114.03

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1.5x scale

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.