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Finding the Fourth Proportional to 77,075.55, 106,353 and 45,254.70

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Solution

The fourth proportional to 77,075.55, 106,353 and 45,254.70 is: 62,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075.55 : 106,353 = 45,254.70 : x
  2. Step 2: Convert to fraction form
    77,075.55/106,353 = 45,254.70/x
  3. Step 3: Cross multiply
    77,075.55x = 106,353 × 45,254.70
  4. Step 4: Simplify right side
    77,075.55x = 4,812,973,109.10
  5. Step 5: Solve for x
    x = 4,812,973,109.10/77,075.55
  6. Step 6: Final answer
    x = 62,444.88

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1.5x scale

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.