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Finding the Fourth Proportional to 105,605.40, 158,408.10 and 65,656.20

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Solution

The fourth proportional to 105,605.40, 158,408.10 and 65,656.20 is: 98,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,605.40 : 158,408.10 = 65,656.20 : x
  2. Step 2: Convert to fraction form
    105,605.40/158,408.10 = 65,656.20/x
  3. Step 3: Cross multiply
    105,605.40x = 158,408.10 × 65,656.20
  4. Step 4: Simplify right side
    105,605.40x = 10,400,473,895.22
  5. Step 5: Solve for x
    x = 10,400,473,895.22/105,605.40
  6. Step 6: Final answer
    x = 98,484.30

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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.