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Finding the Fourth Proportional to 105,677.94, 145,863.12 and 65,368.26

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Solution

The fourth proportional to 105,677.94, 145,863.12 and 65,368.26 is: 90,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,677.94 : 145,863.12 = 65,368.26 : x
  2. Step 2: Convert to fraction form
    105,677.94/145,863.12 = 65,368.26/x
  3. Step 3: Cross multiply
    105,677.94x = 145,863.12 × 65,368.26
  4. Step 4: Simplify right side
    105,677.94x = 9,534,818,352.57
  5. Step 5: Solve for x
    x = 9,534,818,352.57/105,677.94
  6. Step 6: Final answer
    x = 90,225.25

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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.