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Finding the Fourth Proportional to 113,603.04, 156,649.14 and 77,328

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Solution

The fourth proportional to 113,603.04, 156,649.14 and 77,328 is: 106,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,603.04 : 156,649.14 = 77,328 : x
  2. Step 2: Convert to fraction form
    113,603.04/156,649.14 = 77,328/x
  3. Step 3: Cross multiply
    113,603.04x = 156,649.14 × 77,328
  4. Step 4: Simplify right side
    113,603.04x = 12,113,364,697.92
  5. Step 5: Solve for x
    x = 12,113,364,697.92/113,603.04
  6. Step 6: Final answer
    x = 106,628.88

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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.