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Finding the Fourth Proportional to 319,810.01, 479,657.30 and 83,138.13

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Solution

The fourth proportional to 319,810.01, 479,657.30 and 83,138.13 is: 124,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,810.01 : 479,657.30 = 83,138.13 : x
  2. Step 2: Convert to fraction form
    319,810.01/479,657.30 = 83,138.13/x
  3. Step 3: Cross multiply
    319,810.01x = 479,657.30 × 83,138.13
  4. Step 4: Simplify right side
    319,810.01x = 39,877,810,547.16
  5. Step 5: Solve for x
    x = 39,877,810,547.16/319,810.01
  6. Step 6: Final answer
    x = 124,692.19

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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.