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Finding the Fourth Proportional to 138,273, 190,805.40 and 77,824.32

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Solution

The fourth proportional to 138,273, 190,805.40 and 77,824.32 is: 107,391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,273 : 190,805.40 = 77,824.32 : x
  2. Step 2: Convert to fraction form
    138,273/190,805.40 = 77,824.32/x
  3. Step 3: Cross multiply
    138,273x = 190,805.40 × 77,824.32
  4. Step 4: Simplify right side
    138,273x = 14,849,300,507.33
  5. Step 5: Solve for x
    x = 14,849,300,507.33/138,273
  6. Step 6: Final answer
    x = 107,391.18

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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.