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Finding the Fourth Proportional to 77,439, 106,849.34 and 45,596.28

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Solution

The fourth proportional to 77,439, 106,849.34 and 45,596.28 is: 62,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,439 : 106,849.34 = 45,596.28 : x
  2. Step 2: Convert to fraction form
    77,439/106,849.34 = 45,596.28/x
  3. Step 3: Cross multiply
    77,439x = 106,849.34 × 45,596.28
  4. Step 4: Simplify right side
    77,439x = 4,871,932,424.46
  5. Step 5: Solve for x
    x = 4,871,932,424.46/77,439
  6. Step 6: Final answer
    x = 62,913.16

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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.