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Finding the Fourth Proportional to 310,019.16, 465,031.23 and 85,392

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Solution

The fourth proportional to 310,019.16, 465,031.23 and 85,392 is: 128,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,019.16 : 465,031.23 = 85,392 : x
  2. Step 2: Convert to fraction form
    310,019.16/465,031.23 = 85,392/x
  3. Step 3: Cross multiply
    310,019.16x = 465,031.23 × 85,392
  4. Step 4: Simplify right side
    310,019.16x = 39,709,946,792.16
  5. Step 5: Solve for x
    x = 39,709,946,792.16/310,019.16
  6. Step 6: Final answer
    x = 128,088.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.