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Finding the Fourth Proportional to 105,891.78, 146,133.20 and 57,495.76

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Solution

The fourth proportional to 105,891.78, 146,133.20 and 57,495.76 is: 79,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,891.78 : 146,133.20 = 57,495.76 : x
  2. Step 2: Convert to fraction form
    105,891.78/146,133.20 = 57,495.76/x
  3. Step 3: Cross multiply
    105,891.78x = 146,133.20 × 57,495.76
  4. Step 4: Simplify right side
    105,891.78x = 8,402,039,395.23
  5. Step 5: Solve for x
    x = 8,402,039,395.23/105,891.78
  6. Step 6: Final answer
    x = 79,345.53

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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.