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Finding the Fourth Proportional to 103,292.16, 142,566.24 and 65,559.36

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Solution

The fourth proportional to 103,292.16, 142,566.24 and 65,559.36 is: 90,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,292.16 : 142,566.24 = 65,559.36 : x
  2. Step 2: Convert to fraction form
    103,292.16/142,566.24 = 65,559.36/x
  3. Step 3: Cross multiply
    103,292.16x = 142,566.24 × 65,559.36
  4. Step 4: Simplify right side
    103,292.16x = 9,346,551,452.01
  5. Step 5: Solve for x
    x = 9,346,551,452.01/103,292.16
  6. Step 6: Final answer
    x = 90,486.55

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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.