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Finding the Fourth Proportional to 103,953.90, 155,114.34 and 97,606.10

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Solution

The fourth proportional to 103,953.90, 155,114.34 and 97,606.10 is: 145,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953.90 : 155,114.34 = 97,606.10 : x
  2. Step 2: Convert to fraction form
    103,953.90/155,114.34 = 97,606.10/x
  3. Step 3: Cross multiply
    103,953.90x = 155,114.34 × 97,606.10
  4. Step 4: Simplify right side
    103,953.90x = 15,140,105,293.44
  5. Step 5: Solve for x
    x = 15,140,105,293.44/103,953.90
  6. Step 6: Final answer
    x = 145,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.