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Finding the Fourth Proportional to 210,128.83, 314,904.13 and 90,042.03

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Solution

The fourth proportional to 210,128.83, 314,904.13 and 90,042.03 is: 134,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,128.83 : 314,904.13 = 90,042.03 : x
  2. Step 2: Convert to fraction form
    210,128.83/314,904.13 = 90,042.03/x
  3. Step 3: Cross multiply
    210,128.83x = 314,904.13 × 90,042.03
  4. Step 4: Simplify right side
    210,128.83x = 28,354,607,120.58
  5. Step 5: Solve for x
    x = 28,354,607,120.58/210,128.83
  6. Step 6: Final answer
    x = 134,939.16

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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.