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Finding the Fourth Proportional to 105,885.40, 146,190.23 and 65,642.17

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Solution

The fourth proportional to 105,885.40, 146,190.23 and 65,642.17 is: 90,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885.40 : 146,190.23 = 65,642.17 : x
  2. Step 2: Convert to fraction form
    105,885.40/146,190.23 = 65,642.17/x
  3. Step 3: Cross multiply
    105,885.40x = 146,190.23 × 65,642.17
  4. Step 4: Simplify right side
    105,885.40x = 9,596,243,482.47
  5. Step 5: Solve for x
    x = 9,596,243,482.47/105,885.40
  6. Step 6: Final answer
    x = 90,628.58

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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.