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Finding the Fourth Proportional to 153,701.12, 212,107.16 and 85,718.16

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Solution

The fourth proportional to 153,701.12, 212,107.16 and 85,718.16 is: 118,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,701.12 : 212,107.16 = 85,718.16 : x
  2. Step 2: Convert to fraction form
    153,701.12/212,107.16 = 85,718.16/x
  3. Step 3: Cross multiply
    153,701.12x = 212,107.16 × 85,718.16
  4. Step 4: Simplify right side
    153,701.12x = 18,181,435,478.03
  5. Step 5: Solve for x
    x = 18,181,435,478.03/153,701.12
  6. Step 6: Final answer
    x = 118,290.85

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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.