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Finding the Fourth Proportional to 210,883.91, 316,365.95 and 77,774.58

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Solution

The fourth proportional to 210,883.91, 316,365.95 and 77,774.58 is: 116,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,883.91 : 316,365.95 = 77,774.58 : x
  2. Step 2: Convert to fraction form
    210,883.91/316,365.95 = 77,774.58/x
  3. Step 3: Cross multiply
    210,883.91x = 316,365.95 × 77,774.58
  4. Step 4: Simplify right side
    210,883.91x = 24,605,229,081.99
  5. Step 5: Solve for x
    x = 24,605,229,081.99/210,883.91
  6. Step 6: Final answer
    x = 116,676.66

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1.5x scale

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.