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Finding the Fourth Proportional to 210,681.58, 316,147.10 and 77,655.28

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Solution

The fourth proportional to 210,681.58, 316,147.10 and 77,655.28 is: 116,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681.58 : 316,147.10 = 77,655.28 : x
  2. Step 2: Convert to fraction form
    210,681.58/316,147.10 = 77,655.28/x
  3. Step 3: Cross multiply
    210,681.58x = 316,147.10 × 77,655.28
  4. Step 4: Simplify right side
    210,681.58x = 24,550,491,571.69
  5. Step 5: Solve for x
    x = 24,550,491,571.69/210,681.58
  6. Step 6: Final answer
    x = 116,528.89

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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.