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Finding the Fourth Proportional to 77,172, 106,511.01 and 45,340.89

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Solution

The fourth proportional to 77,172, 106,511.01 and 45,340.89 is: 62,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,172 : 106,511.01 = 45,340.89 : x
  2. Step 2: Convert to fraction form
    77,172/106,511.01 = 45,340.89/x
  3. Step 3: Cross multiply
    77,172x = 106,511.01 × 45,340.89
  4. Step 4: Simplify right side
    77,172x = 4,829,303,988.20
  5. Step 5: Solve for x
    x = 4,829,303,988.20/77,172
  6. Step 6: Final answer
    x = 62,578.45

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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.