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Finding the Fourth Proportional to 77,459.63, 106,877.81 and 45,616.91

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Solution

The fourth proportional to 77,459.63, 106,877.81 and 45,616.91 is: 62,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,459.63 : 106,877.81 = 45,616.91 : x
  2. Step 2: Convert to fraction form
    77,459.63/106,877.81 = 45,616.91/x
  3. Step 3: Cross multiply
    77,459.63x = 106,877.81 × 45,616.91
  4. Step 4: Simplify right side
    77,459.63x = 4,875,435,019.42
  5. Step 5: Solve for x
    x = 4,875,435,019.42/77,459.63
  6. Step 6: Final answer
    x = 62,941.63

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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.