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Finding the Fourth Proportional to 100,970.72, 139,333.32 and 55,646.16

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Solution

The fourth proportional to 100,970.72, 139,333.32 and 55,646.16 is: 76,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970.72 : 139,333.32 = 55,646.16 : x
  2. Step 2: Convert to fraction form
    100,970.72/139,333.32 = 55,646.16/x
  3. Step 3: Cross multiply
    100,970.72x = 139,333.32 × 55,646.16
  4. Step 4: Simplify right side
    100,970.72x = 7,753,364,218.05
  5. Step 5: Solve for x
    x = 7,753,364,218.05/100,970.72
  6. Step 6: Final answer
    x = 76,788.24

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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.