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Finding the Fourth Proportional to 102,941.60, 154,412.40 and 101,386.40

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Solution

The fourth proportional to 102,941.60, 154,412.40 and 101,386.40 is: 152,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,941.60 : 154,412.40 = 101,386.40 : x
  2. Step 2: Convert to fraction form
    102,941.60/154,412.40 = 101,386.40/x
  3. Step 3: Cross multiply
    102,941.60x = 154,412.40 × 101,386.40
  4. Step 4: Simplify right side
    102,941.60x = 15,655,317,351.36
  5. Step 5: Solve for x
    x = 15,655,317,351.36/102,941.60
  6. Step 6: Final answer
    x = 152,079.60

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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.