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Finding the Fourth Proportional to 105,576.17, 145,639.90 and 65,277.05

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Solution

The fourth proportional to 105,576.17, 145,639.90 and 65,277.05 is: 90,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576.17 : 145,639.90 = 65,277.05 : x
  2. Step 2: Convert to fraction form
    105,576.17/145,639.90 = 65,277.05/x
  3. Step 3: Cross multiply
    105,576.17x = 145,639.90 × 65,277.05
  4. Step 4: Simplify right side
    105,576.17x = 9,506,943,034.30
  5. Step 5: Solve for x
    x = 9,506,943,034.30/105,576.17
  6. Step 6: Final answer
    x = 90,048.19

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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.