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Finding the Fourth Proportional to 70,642.19, 97,491.69 and 40,437

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Solution

The fourth proportional to 70,642.19, 97,491.69 and 40,437 is: 55,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.19 : 97,491.69 = 40,437 : x
  2. Step 2: Convert to fraction form
    70,642.19/97,491.69 = 40,437/x
  3. Step 3: Cross multiply
    70,642.19x = 97,491.69 × 40,437
  4. Step 4: Simplify right side
    70,642.19x = 3,942,271,468.53
  5. Step 5: Solve for x
    x = 3,942,271,468.53/70,642.19
  6. Step 6: Final answer
    x = 55,806.19

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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.