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Finding the Fourth Proportional to 103,638.60, 155,460.42 and 77,509.26

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Solution

The fourth proportional to 103,638.60, 155,460.42 and 77,509.26 is: 116,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.60 : 155,460.42 = 77,509.26 : x
  2. Step 2: Convert to fraction form
    103,638.60/155,460.42 = 77,509.26/x
  3. Step 3: Cross multiply
    103,638.60x = 155,460.42 × 77,509.26
  4. Step 4: Simplify right side
    103,638.60x = 12,049,622,113.49
  5. Step 5: Solve for x
    x = 12,049,622,113.49/103,638.60
  6. Step 6: Final answer
    x = 116,265.77

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1.5x scale

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.