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Finding the Fourth Proportional to 137,999.70, 190,459.76 and 77,575.32

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Solution

The fourth proportional to 137,999.70, 190,459.76 and 77,575.32 is: 107,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,999.70 : 190,459.76 = 77,575.32 : x
  2. Step 2: Convert to fraction form
    137,999.70/190,459.76 = 77,575.32/x
  3. Step 3: Cross multiply
    137,999.70x = 190,459.76 × 77,575.32
  4. Step 4: Simplify right side
    137,999.70x = 14,774,976,441.25
  5. Step 5: Solve for x
    x = 14,774,976,441.25/137,999.70
  6. Step 6: Final answer
    x = 107,065.28

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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.