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Finding the Fourth Proportional to 77,406.71, 106,810.92 and 42,950.93

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Solution

The fourth proportional to 77,406.71, 106,810.92 and 42,950.93 is: 59,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.71 : 106,810.92 = 42,950.93 : x
  2. Step 2: Convert to fraction form
    77,406.71/106,810.92 = 42,950.93/x
  3. Step 3: Cross multiply
    77,406.71x = 106,810.92 × 42,950.93
  4. Step 4: Simplify right side
    77,406.71x = 4,587,627,814.10
  5. Step 5: Solve for x
    x = 4,587,627,814.10/77,406.71
  6. Step 6: Final answer
    x = 59,266.54

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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.