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Finding the Fourth Proportional to 105,900.48, 146,211.21 and 65,657.16

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Solution

The fourth proportional to 105,900.48, 146,211.21 and 65,657.16 is: 90,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.48 : 146,211.21 = 65,657.16 : x
  2. Step 2: Convert to fraction form
    105,900.48/146,211.21 = 65,657.16/x
  3. Step 3: Cross multiply
    105,900.48x = 146,211.21 × 65,657.16
  4. Step 4: Simplify right side
    105,900.48x = 9,599,812,808.76
  5. Step 5: Solve for x
    x = 9,599,812,808.76/105,900.48
  6. Step 6: Final answer
    x = 90,649.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.