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Finding the Fourth Proportional to 146,101, 218,985.40 and 61,808.62

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Solution

The fourth proportional to 146,101, 218,985.40 and 61,808.62 is: 92,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,101 : 218,985.40 = 61,808.62 : x
  2. Step 2: Convert to fraction form
    146,101/218,985.40 = 61,808.62/x
  3. Step 3: Cross multiply
    146,101x = 218,985.40 × 61,808.62
  4. Step 4: Simplify right side
    146,101x = 13,535,185,374.15
  5. Step 5: Solve for x
    x = 13,535,185,374.15/146,101
  6. Step 6: Final answer
    x = 92,642.66

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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.