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Finding the Fourth Proportional to 83,521, 115,312.74 and 74,553.16

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Solution

The fourth proportional to 83,521, 115,312.74 and 74,553.16 is: 102,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,521 : 115,312.74 = 74,553.16 : x
  2. Step 2: Convert to fraction form
    83,521/115,312.74 = 74,553.16/x
  3. Step 3: Cross multiply
    83,521x = 115,312.74 × 74,553.16
  4. Step 4: Simplify right side
    83,521x = 8,596,929,155.26
  5. Step 5: Solve for x
    x = 8,596,929,155.26/83,521
  6. Step 6: Final answer
    x = 102,931.35

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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.