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Finding the Fourth Proportional to 153,702.12, 212,108.54 and 85,719.16

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Solution

The fourth proportional to 153,702.12, 212,108.54 and 85,719.16 is: 118,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702.12 : 212,108.54 = 85,719.16 : x
  2. Step 2: Convert to fraction form
    153,702.12/212,108.54 = 85,719.16/x
  3. Step 3: Cross multiply
    153,702.12x = 212,108.54 × 85,719.16
  4. Step 4: Simplify right side
    153,702.12x = 18,181,765,877.63
  5. Step 5: Solve for x
    x = 18,181,765,877.63/153,702.12
  6. Step 6: Final answer
    x = 118,292.23

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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.