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Finding the Fourth Proportional to 100,042.93, 149,897.80 and 70,398.49

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Solution

The fourth proportional to 100,042.93, 149,897.80 and 70,398.49 is: 105,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.93 : 149,897.80 = 70,398.49 : x
  2. Step 2: Convert to fraction form
    100,042.93/149,897.80 = 70,398.49/x
  3. Step 3: Cross multiply
    100,042.93x = 149,897.80 × 70,398.49
  4. Step 4: Simplify right side
    100,042.93x = 10,552,578,774.32
  5. Step 5: Solve for x
    x = 10,552,578,774.32/100,042.93
  6. Step 6: Final answer
    x = 105,480.50

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1.5x scale

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.