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Finding the Fourth Proportional to 103,447.65, 142,751.93 and 63,148.53

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Solution

The fourth proportional to 103,447.65, 142,751.93 and 63,148.53 is: 87,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447.65 : 142,751.93 = 63,148.53 : x
  2. Step 2: Convert to fraction form
    103,447.65/142,751.93 = 63,148.53/x
  3. Step 3: Cross multiply
    103,447.65x = 142,751.93 × 63,148.53
  4. Step 4: Simplify right side
    103,447.65x = 9,014,574,218.42
  5. Step 5: Solve for x
    x = 9,014,574,218.42/103,447.65
  6. Step 6: Final answer
    x = 87,141.41

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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.