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Finding the Fourth Proportional to 103,410.09, 142,702.16 and 63,191.16

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Solution

The fourth proportional to 103,410.09, 142,702.16 and 63,191.16 is: 87,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410.09 : 142,702.16 = 63,191.16 : x
  2. Step 2: Convert to fraction form
    103,410.09/142,702.16 = 63,191.16/x
  3. Step 3: Cross multiply
    103,410.09x = 142,702.16 × 63,191.16
  4. Step 4: Simplify right side
    103,410.09x = 9,017,514,708.95
  5. Step 5: Solve for x
    x = 9,017,514,708.95/103,410.09
  6. Step 6: Final answer
    x = 87,201.50

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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.