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Finding the Fourth Proportional to 107,031.80, 147,703.59 and 61,709.57

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Solution

The fourth proportional to 107,031.80, 147,703.59 and 61,709.57 is: 85,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,031.80 : 147,703.59 = 61,709.57 : x
  2. Step 2: Convert to fraction form
    107,031.80/147,703.59 = 61,709.57/x
  3. Step 3: Cross multiply
    107,031.80x = 147,703.59 × 61,709.57
  4. Step 4: Simplify right side
    107,031.80x = 9,114,724,287.84
  5. Step 5: Solve for x
    x = 9,114,724,287.84/107,031.80
  6. Step 6: Final answer
    x = 85,159.03

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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.