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Finding the Fourth Proportional to 78,075.76, 117,116.86 and 22,671.76

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Solution

The fourth proportional to 78,075.76, 117,116.86 and 22,671.76 is: 34,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,075.76 : 117,116.86 = 22,671.76 : x
  2. Step 2: Convert to fraction form
    78,075.76/117,116.86 = 22,671.76/x
  3. Step 3: Cross multiply
    78,075.76x = 117,116.86 × 22,671.76
  4. Step 4: Simplify right side
    78,075.76x = 2,655,245,341.87
  5. Step 5: Solve for x
    x = 2,655,245,341.87/78,075.76
  6. Step 6: Final answer
    x = 34,008.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.