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Finding the Fourth Proportional to 145,478.71, 200,859.47 and 107,242.66

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Solution

The fourth proportional to 145,478.71, 200,859.47 and 107,242.66 is: 148,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,478.71 : 200,859.47 = 107,242.66 : x
  2. Step 2: Convert to fraction form
    145,478.71/200,859.47 = 107,242.66/x
  3. Step 3: Cross multiply
    145,478.71x = 200,859.47 × 107,242.66
  4. Step 4: Simplify right side
    145,478.71x = 21,540,703,848.99
  5. Step 5: Solve for x
    x = 21,540,703,848.99/145,478.71
  6. Step 6: Final answer
    x = 148,067.74

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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.