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Finding the Fourth Proportional to 210,177.80, 314,748.30 and 139,675.40

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Solution

The fourth proportional to 210,177.80, 314,748.30 and 139,675.40 is: 209,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,177.80 : 314,748.30 = 139,675.40 : x
  2. Step 2: Convert to fraction form
    210,177.80/314,748.30 = 139,675.40/x
  3. Step 3: Cross multiply
    210,177.80x = 314,748.30 × 139,675.40
  4. Step 4: Simplify right side
    210,177.80x = 43,962,594,701.82
  5. Step 5: Solve for x
    x = 43,962,594,701.82/210,177.80
  6. Step 6: Final answer
    x = 209,168.59

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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.