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Finding the Fourth Proportional to 121,300, 167,395.08 and 71,000.08

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Solution

The fourth proportional to 121,300, 167,395.08 and 71,000.08 is: 97,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,300 : 167,395.08 = 71,000.08 : x
  2. Step 2: Convert to fraction form
    121,300/167,395.08 = 71,000.08/x
  3. Step 3: Cross multiply
    121,300x = 167,395.08 × 71,000.08
  4. Step 4: Simplify right side
    121,300x = 11,885,064,071.61
  5. Step 5: Solve for x
    x = 11,885,064,071.61/121,300
  6. Step 6: Final answer
    x = 97,980.74

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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.