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Finding the Fourth Proportional to 122,111.10, 183,166.65 and 86,681.70

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Solution

The fourth proportional to 122,111.10, 183,166.65 and 86,681.70 is: 130,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,111.10 : 183,166.65 = 86,681.70 : x
  2. Step 2: Convert to fraction form
    122,111.10/183,166.65 = 86,681.70/x
  3. Step 3: Cross multiply
    122,111.10x = 183,166.65 × 86,681.70
  4. Step 4: Simplify right side
    122,111.10x = 15,877,196,605.31
  5. Step 5: Solve for x
    x = 15,877,196,605.31/122,111.10
  6. Step 6: Final answer
    x = 130,022.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.