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Finding the Fourth Proportional to 100,024.57, 137,968.86 and 64,157.77

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Solution

The fourth proportional to 100,024.57, 137,968.86 and 64,157.77 is: 88,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.57 : 137,968.86 = 64,157.77 : x
  2. Step 2: Convert to fraction form
    100,024.57/137,968.86 = 64,157.77/x
  3. Step 3: Cross multiply
    100,024.57x = 137,968.86 × 64,157.77
  4. Step 4: Simplify right side
    100,024.57x = 8,851,774,387.04
  5. Step 5: Solve for x
    x = 8,851,774,387.04/100,024.57
  6. Step 6: Final answer
    x = 88,496.00

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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.