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Finding the Fourth Proportional to 105,678.44, 145,863.82 and 65,368.76

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Solution

The fourth proportional to 105,678.44, 145,863.82 and 65,368.76 is: 90,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678.44 : 145,863.82 = 65,368.76 : x
  2. Step 2: Convert to fraction form
    105,678.44/145,863.82 = 65,368.76/x
  3. Step 3: Cross multiply
    105,678.44x = 145,863.82 × 65,368.76
  4. Step 4: Simplify right side
    105,678.44x = 9,534,937,042.26
  5. Step 5: Solve for x
    x = 9,534,937,042.26/105,678.44
  6. Step 6: Final answer
    x = 90,225.94

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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.