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Finding the Fourth Proportional to 219,457.97, 302,876.65 and 123,970.82

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Solution

The fourth proportional to 219,457.97, 302,876.65 and 123,970.82 is: 171,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,457.97 : 302,876.65 = 123,970.82 : x
  2. Step 2: Convert to fraction form
    219,457.97/302,876.65 = 123,970.82/x
  3. Step 3: Cross multiply
    219,457.97x = 302,876.65 × 123,970.82
  4. Step 4: Simplify right side
    219,457.97x = 37,547,866,659.35
  5. Step 5: Solve for x
    x = 37,547,866,659.35/219,457.97
  6. Step 6: Final answer
    x = 171,093.66

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1.5x scale

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.