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Finding the Fourth Proportional to 103,140.20, 144,746.20 and 103,140.20

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Solution

The fourth proportional to 103,140.20, 144,746.20 and 103,140.20 is: 144,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,140.20 : 144,746.20 = 103,140.20 : x
  2. Step 2: Convert to fraction form
    103,140.20/144,746.20 = 103,140.20/x
  3. Step 3: Cross multiply
    103,140.20x = 144,746.20 × 103,140.20
  4. Step 4: Simplify right side
    103,140.20x = 14,929,152,017.24
  5. Step 5: Solve for x
    x = 14,929,152,017.24/103,140.20
  6. Step 6: Final answer
    x = 144,746.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.