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Finding the Fourth Proportional to 157,117.52, 216,823.56 and 145,211.60

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Solution

The fourth proportional to 157,117.52, 216,823.56 and 145,211.60 is: 200,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,117.52 : 216,823.56 = 145,211.60 : x
  2. Step 2: Convert to fraction form
    157,117.52/216,823.56 = 145,211.60/x
  3. Step 3: Cross multiply
    157,117.52x = 216,823.56 × 145,211.60
  4. Step 4: Simplify right side
    157,117.52x = 31,485,296,065.30
  5. Step 5: Solve for x
    x = 31,485,296,065.30/157,117.52
  6. Step 6: Final answer
    x = 200,393.29

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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.