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Finding the Fourth Proportional to 77,348.66, 106,734.63 and 42,894.38

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Solution

The fourth proportional to 77,348.66, 106,734.63 and 42,894.38 is: 59,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.66 : 106,734.63 = 42,894.38 : x
  2. Step 2: Convert to fraction form
    77,348.66/106,734.63 = 42,894.38/x
  3. Step 3: Cross multiply
    77,348.66x = 106,734.63 × 42,894.38
  4. Step 4: Simplify right side
    77,348.66x = 4,578,315,778.38
  5. Step 5: Solve for x
    x = 4,578,315,778.38/77,348.66
  6. Step 6: Final answer
    x = 59,190.63

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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.