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Finding the Fourth Proportional to 102,127.67, 140,878.67 and 61,281.23

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Solution

The fourth proportional to 102,127.67, 140,878.67 and 61,281.23 is: 84,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,127.67 : 140,878.67 = 61,281.23 : x
  2. Step 2: Convert to fraction form
    102,127.67/140,878.67 = 61,281.23/x
  3. Step 3: Cross multiply
    102,127.67x = 140,878.67 × 61,281.23
  4. Step 4: Simplify right side
    102,127.67x = 8,633,217,167.56
  5. Step 5: Solve for x
    x = 8,633,217,167.56/102,127.67
  6. Step 6: Final answer
    x = 84,533.58

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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.