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Finding the Fourth Proportional to 101,648.67, 140,271.14 and 56,328.57

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Solution

The fourth proportional to 101,648.67, 140,271.14 and 56,328.57 is: 77,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,648.67 : 140,271.14 = 56,328.57 : x
  2. Step 2: Convert to fraction form
    101,648.67/140,271.14 = 56,328.57/x
  3. Step 3: Cross multiply
    101,648.67x = 140,271.14 × 56,328.57
  4. Step 4: Simplify right side
    101,648.67x = 7,901,272,446.83
  5. Step 5: Solve for x
    x = 7,901,272,446.83/101,648.67
  6. Step 6: Final answer
    x = 77,731.19

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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.