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Finding the Fourth Proportional to 205,415.90, 307,864.65 and 100,007.90

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Solution

The fourth proportional to 205,415.90, 307,864.65 and 100,007.90 is: 149,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.90 : 307,864.65 = 100,007.90 : x
  2. Step 2: Convert to fraction form
    205,415.90/307,864.65 = 100,007.90/x
  3. Step 3: Cross multiply
    205,415.90x = 307,864.65 × 100,007.90
  4. Step 4: Simplify right side
    205,415.90x = 30,788,897,130.74
  5. Step 5: Solve for x
    x = 30,788,897,130.74/205,415.90
  6. Step 6: Final answer
    x = 149,885.66

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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.