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Finding the Fourth Proportional to 157,119.52, 216,826.32 and 145,213.60

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Solution

The fourth proportional to 157,119.52, 216,826.32 and 145,213.60 is: 200,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,119.52 : 216,826.32 = 145,213.60 : x
  2. Step 2: Convert to fraction form
    157,119.52/216,826.32 = 145,213.60/x
  3. Step 3: Cross multiply
    157,119.52x = 216,826.32 × 145,213.60
  4. Step 4: Simplify right side
    157,119.52x = 31,486,130,501.95
  5. Step 5: Solve for x
    x = 31,486,130,501.95/157,119.52
  6. Step 6: Final answer
    x = 200,396.05

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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.