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Finding the Fourth Proportional to 318,075.65, 477,113.17 and 81,417.95

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Solution

The fourth proportional to 318,075.65, 477,113.17 and 81,417.95 is: 122,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,075.65 : 477,113.17 = 81,417.95 : x
  2. Step 2: Convert to fraction form
    318,075.65/477,113.17 = 81,417.95/x
  3. Step 3: Cross multiply
    318,075.65x = 477,113.17 × 81,417.95
  4. Step 4: Simplify right side
    318,075.65x = 38,845,576,219.40
  5. Step 5: Solve for x
    x = 38,845,576,219.40/318,075.65
  6. Step 6: Final answer
    x = 122,126.85

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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.