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Finding the Fourth Proportional to 85,461.87, 117,937.28 and 51,490

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Solution

The fourth proportional to 85,461.87, 117,937.28 and 51,490 is: 71,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,461.87 : 117,937.28 = 51,490 : x
  2. Step 2: Convert to fraction form
    85,461.87/117,937.28 = 51,490/x
  3. Step 3: Cross multiply
    85,461.87x = 117,937.28 × 51,490
  4. Step 4: Simplify right side
    85,461.87x = 6,072,590,547.20
  5. Step 5: Solve for x
    x = 6,072,590,547.20/85,461.87
  6. Step 6: Final answer
    x = 71,056.14

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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.