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Finding the Fourth Proportional to 210,522.96, 316,009.14 and 90,639.24

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Solution

The fourth proportional to 210,522.96, 316,009.14 and 90,639.24 is: 136,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,522.96 : 316,009.14 = 90,639.24 : x
  2. Step 2: Convert to fraction form
    210,522.96/316,009.14 = 90,639.24/x
  3. Step 3: Cross multiply
    210,522.96x = 316,009.14 × 90,639.24
  4. Step 4: Simplify right side
    210,522.96x = 28,642,828,282.65
  5. Step 5: Solve for x
    x = 28,642,828,282.65/210,522.96
  6. Step 6: Final answer
    x = 136,055.60

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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.