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Finding the Fourth Proportional to 107,123.69, 147,829.54 and 61,801.13

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Solution

The fourth proportional to 107,123.69, 147,829.54 and 61,801.13 is: 85,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,123.69 : 147,829.54 = 61,801.13 : x
  2. Step 2: Convert to fraction form
    107,123.69/147,829.54 = 61,801.13/x
  3. Step 3: Cross multiply
    107,123.69x = 147,829.54 × 61,801.13
  4. Step 4: Simplify right side
    107,123.69x = 9,136,032,619.38
  5. Step 5: Solve for x
    x = 9,136,032,619.38/107,123.69
  6. Step 6: Final answer
    x = 85,284.89

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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.