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Finding the Fourth Proportional to 153,702.72, 212,109.35 and 85,719.78

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Solution

The fourth proportional to 153,702.72, 212,109.35 and 85,719.78 is: 118,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702.72 : 212,109.35 = 85,719.78 : x
  2. Step 2: Convert to fraction form
    153,702.72/212,109.35 = 85,719.78/x
  3. Step 3: Cross multiply
    153,702.72x = 212,109.35 × 85,719.78
  4. Step 4: Simplify right side
    153,702.72x = 18,181,966,389.34
  5. Step 5: Solve for x
    x = 18,181,966,389.34/153,702.72
  6. Step 6: Final answer
    x = 118,293.07

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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.