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Finding the Fourth Proportional to 122,702.10, 183,945.15 and 83,130.90

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Solution

The fourth proportional to 122,702.10, 183,945.15 and 83,130.90 is: 124,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,702.10 : 183,945.15 = 83,130.90 : x
  2. Step 2: Convert to fraction form
    122,702.10/183,945.15 = 83,130.90/x
  3. Step 3: Cross multiply
    122,702.10x = 183,945.15 × 83,130.90
  4. Step 4: Simplify right side
    122,702.10x = 15,291,525,870.14
  5. Step 5: Solve for x
    x = 15,291,525,870.14/122,702.10
  6. Step 6: Final answer
    x = 124,623.18

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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.