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Finding the Fourth Proportional to 210,157.65, 314,890.20 and 121,256.10

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Solution

The fourth proportional to 210,157.65, 314,890.20 and 121,256.10 is: 181,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,157.65 : 314,890.20 = 121,256.10 : x
  2. Step 2: Convert to fraction form
    210,157.65/314,890.20 = 121,256.10/x
  3. Step 3: Cross multiply
    210,157.65x = 314,890.20 × 121,256.10
  4. Step 4: Simplify right side
    210,157.65x = 38,182,357,580.22
  5. Step 5: Solve for x
    x = 38,182,357,580.22/210,157.65
  6. Step 6: Final answer
    x = 181,684.36

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1.5x scale

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.