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Finding the Fourth Proportional to 160,142.75, 240,214.14 and 65,417.64

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Solution

The fourth proportional to 160,142.75, 240,214.14 and 65,417.64 is: 98,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,142.75 : 240,214.14 = 65,417.64 : x
  2. Step 2: Convert to fraction form
    160,142.75/240,214.14 = 65,417.64/x
  3. Step 3: Cross multiply
    160,142.75x = 240,214.14 × 65,417.64
  4. Step 4: Simplify right side
    160,142.75x = 15,714,241,232.63
  5. Step 5: Solve for x
    x = 15,714,241,232.63/160,142.75
  6. Step 6: Final answer
    x = 98,126.46

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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.