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Finding the Fourth Proportional to 101,495.78, 140,064.47 and 56,176.91

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Solution

The fourth proportional to 101,495.78, 140,064.47 and 56,176.91 is: 77,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,495.78 : 140,064.47 = 56,176.91 : x
  2. Step 2: Convert to fraction form
    101,495.78/140,064.47 = 56,176.91/x
  3. Step 3: Cross multiply
    101,495.78x = 140,064.47 × 56,176.91
  4. Step 4: Simplify right side
    101,495.78x = 7,868,389,196.08
  5. Step 5: Solve for x
    x = 7,868,389,196.08/101,495.78
  6. Step 6: Final answer
    x = 77,524.30

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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.