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Finding the Fourth Proportional to 65,281, 90,088.32 and 35,473

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Solution

The fourth proportional to 65,281, 90,088.32 and 35,473 is: 48,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281 : 90,088.32 = 35,473 : x
  2. Step 2: Convert to fraction form
    65,281/90,088.32 = 35,473/x
  3. Step 3: Cross multiply
    65,281x = 90,088.32 × 35,473
  4. Step 4: Simplify right side
    65,281x = 3,195,702,975.36
  5. Step 5: Solve for x
    x = 3,195,702,975.36/65,281
  6. Step 6: Final answer
    x = 48,953.03

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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.