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Finding the Fourth Proportional to 153,165.65, 211,364.92 and 83,313.17

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Solution

The fourth proportional to 153,165.65, 211,364.92 and 83,313.17 is: 114,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,165.65 : 211,364.92 = 83,313.17 : x
  2. Step 2: Convert to fraction form
    153,165.65/211,364.92 = 83,313.17/x
  3. Step 3: Cross multiply
    153,165.65x = 211,364.92 × 83,313.17
  4. Step 4: Simplify right side
    153,165.65x = 17,609,480,246.89
  5. Step 5: Solve for x
    x = 17,609,480,246.89/153,165.65
  6. Step 6: Final answer
    x = 114,970.17

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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.