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Finding the Fourth Proportional to 107,384.78, 148,202.74 and 61,448.66

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Solution

The fourth proportional to 107,384.78, 148,202.74 and 61,448.66 is: 84,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,384.78 : 148,202.74 = 61,448.66 : x
  2. Step 2: Convert to fraction form
    107,384.78/148,202.74 = 61,448.66/x
  3. Step 3: Cross multiply
    107,384.78x = 148,202.74 × 61,448.66
  4. Step 4: Simplify right side
    107,384.78x = 9,106,860,125.29
  5. Step 5: Solve for x
    x = 9,106,860,125.29/107,384.78
  6. Step 6: Final answer
    x = 84,805.88

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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.