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Finding the Fourth Proportional to 103,425.16, 142,742.16 and 63,162.08

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Solution

The fourth proportional to 103,425.16, 142,742.16 and 63,162.08 is: 87,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,425.16 : 142,742.16 = 63,162.08 : x
  2. Step 2: Convert to fraction form
    103,425.16/142,742.16 = 63,162.08/x
  3. Step 3: Cross multiply
    103,425.16x = 142,742.16 × 63,162.08
  4. Step 4: Simplify right side
    103,425.16x = 9,015,891,413.48
  5. Step 5: Solve for x
    x = 9,015,891,413.48/103,425.16
  6. Step 6: Final answer
    x = 87,173.10

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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.