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Finding the Fourth Proportional to 137,838.98, 190,222.38 and 77,420.28

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Solution

The fourth proportional to 137,838.98, 190,222.38 and 77,420.28 is: 106,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,838.98 : 190,222.38 = 77,420.28 : x
  2. Step 2: Convert to fraction form
    137,838.98/190,222.38 = 77,420.28/x
  3. Step 3: Cross multiply
    137,838.98x = 190,222.38 × 77,420.28
  4. Step 4: Simplify right side
    137,838.98x = 14,727,069,921.87
  5. Step 5: Solve for x
    x = 14,727,069,921.87/137,838.98
  6. Step 6: Final answer
    x = 106,842.56

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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.