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Finding the Fourth Proportional to 86,974.64, 130,505.76 and 64,832.48

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Solution

The fourth proportional to 86,974.64, 130,505.76 and 64,832.48 is: 97,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,974.64 : 130,505.76 = 64,832.48 : x
  2. Step 2: Convert to fraction form
    86,974.64/130,505.76 = 64,832.48/x
  3. Step 3: Cross multiply
    86,974.64x = 130,505.76 × 64,832.48
  4. Step 4: Simplify right side
    86,974.64x = 8,461,012,075.08
  5. Step 5: Solve for x
    x = 8,461,012,075.08/86,974.64
  6. Step 6: Final answer
    x = 97,281.37

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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.