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Finding the Fourth Proportional to 106,984.32, 160,506.47 and 42,987.39

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Solution

The fourth proportional to 106,984.32, 160,506.47 and 42,987.39 is: 64,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984.32 : 160,506.47 = 42,987.39 : x
  2. Step 2: Convert to fraction form
    106,984.32/160,506.47 = 42,987.39/x
  3. Step 3: Cross multiply
    106,984.32x = 160,506.47 × 42,987.39
  4. Step 4: Simplify right side
    106,984.32x = 6,899,754,008.48
  5. Step 5: Solve for x
    x = 6,899,754,008.48/106,984.32
  6. Step 6: Final answer
    x = 64,493.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.