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Finding the Fourth Proportional to 65,343.30, 90,160 and 42,715.44

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Solution

The fourth proportional to 65,343.30, 90,160 and 42,715.44 is: 58,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.30 : 90,160 = 42,715.44 : x
  2. Step 2: Convert to fraction form
    65,343.30/90,160 = 42,715.44/x
  3. Step 3: Cross multiply
    65,343.30x = 90,160 × 42,715.44
  4. Step 4: Simplify right side
    65,343.30x = 3,851,224,070.40
  5. Step 5: Solve for x
    x = 3,851,224,070.40/65,343.30
  6. Step 6: Final answer
    x = 58,938.32

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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.