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Finding the Fourth Proportional to 105,011.65, 144,916.32 and 59,689.92

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Solution

The fourth proportional to 105,011.65, 144,916.32 and 59,689.92 is: 82,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,011.65 : 144,916.32 = 59,689.92 : x
  2. Step 2: Convert to fraction form
    105,011.65/144,916.32 = 59,689.92/x
  3. Step 3: Cross multiply
    105,011.65x = 144,916.32 × 59,689.92
  4. Step 4: Simplify right side
    105,011.65x = 8,650,043,547.49
  5. Step 5: Solve for x
    x = 8,650,043,547.49/105,011.65
  6. Step 6: Final answer
    x = 82,372.23

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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.