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Finding the Fourth Proportional to 152,806.86, 210,863.45 and 84,820.52

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Solution

The fourth proportional to 152,806.86, 210,863.45 and 84,820.52 is: 117,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,806.86 : 210,863.45 = 84,820.52 : x
  2. Step 2: Convert to fraction form
    152,806.86/210,863.45 = 84,820.52/x
  3. Step 3: Cross multiply
    152,806.86x = 210,863.45 × 84,820.52
  4. Step 4: Simplify right side
    152,806.86x = 17,885,547,477.99
  5. Step 5: Solve for x
    x = 17,885,547,477.99/152,806.86
  6. Step 6: Final answer
    x = 117,046.76

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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.