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Finding the Fourth Proportional to 210,648.84, 316,098 and 77,622.36

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Solution

The fourth proportional to 210,648.84, 316,098 and 77,622.36 is: 116,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,648.84 : 316,098 = 77,622.36 : x
  2. Step 2: Convert to fraction form
    210,648.84/316,098 = 77,622.36/x
  3. Step 3: Cross multiply
    210,648.84x = 316,098 × 77,622.36
  4. Step 4: Simplify right side
    210,648.84x = 24,536,272,751.28
  5. Step 5: Solve for x
    x = 24,536,272,751.28/210,648.84
  6. Step 6: Final answer
    x = 116,479.51

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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.