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Finding the Fourth Proportional to 103,495.70, 142,878.45 and 69,681.98

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Solution

The fourth proportional to 103,495.70, 142,878.45 and 69,681.98 is: 96,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,495.70 : 142,878.45 = 69,681.98 : x
  2. Step 2: Convert to fraction form
    103,495.70/142,878.45 = 69,681.98/x
  3. Step 3: Cross multiply
    103,495.70x = 142,878.45 × 69,681.98
  4. Step 4: Simplify right side
    103,495.70x = 9,956,053,295.33
  5. Step 5: Solve for x
    x = 9,956,053,295.33/103,495.70
  6. Step 6: Final answer
    x = 96,197.75

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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.