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Finding the Fourth Proportional to 106,757.36, 147,339.80 and 61,434.42

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Solution

The fourth proportional to 106,757.36, 147,339.80 and 61,434.42 is: 84,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,757.36 : 147,339.80 = 61,434.42 : x
  2. Step 2: Convert to fraction form
    106,757.36/147,339.80 = 61,434.42/x
  3. Step 3: Cross multiply
    106,757.36x = 147,339.80 × 61,434.42
  4. Step 4: Simplify right side
    106,757.36x = 9,051,734,848.74
  5. Step 5: Solve for x
    x = 9,051,734,848.74/106,757.36
  6. Step 6: Final answer
    x = 84,787.93

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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.