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Finding the Fourth Proportional to 105,315.48, 145,411.47 and 65,084.40

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Solution

The fourth proportional to 105,315.48, 145,411.47 and 65,084.40 is: 89,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,315.48 : 145,411.47 = 65,084.40 : x
  2. Step 2: Convert to fraction form
    105,315.48/145,411.47 = 65,084.40/x
  3. Step 3: Cross multiply
    105,315.48x = 145,411.47 × 65,084.40
  4. Step 4: Simplify right side
    105,315.48x = 9,464,018,278.07
  5. Step 5: Solve for x
    x = 9,464,018,278.07/105,315.48
  6. Step 6: Final answer
    x = 89,863.51

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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.