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Finding the Fourth Proportional to 103,580.80, 142,904.64 and 61,118.08

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Solution

The fourth proportional to 103,580.80, 142,904.64 and 61,118.08 is: 84,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,580.80 : 142,904.64 = 61,118.08 : x
  2. Step 2: Convert to fraction form
    103,580.80/142,904.64 = 61,118.08/x
  3. Step 3: Cross multiply
    103,580.80x = 142,904.64 × 61,118.08
  4. Step 4: Simplify right side
    103,580.80x = 8,734,057,219.89
  5. Step 5: Solve for x
    x = 8,734,057,219.89/103,580.80
  6. Step 6: Final answer
    x = 84,321.20

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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.