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Finding the Fourth Proportional to 101,414.40, 139,962.06 and 56,095.80

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Solution

The fourth proportional to 101,414.40, 139,962.06 and 56,095.80 is: 77,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.40 : 139,962.06 = 56,095.80 : x
  2. Step 2: Convert to fraction form
    101,414.40/139,962.06 = 56,095.80/x
  3. Step 3: Cross multiply
    101,414.40x = 139,962.06 × 56,095.80
  4. Step 4: Simplify right side
    101,414.40x = 7,851,283,725.35
  5. Step 5: Solve for x
    x = 7,851,283,725.35/101,414.40
  6. Step 6: Final answer
    x = 77,417.84

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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.