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Finding the Fourth Proportional to 210,807.26, 290,921.52 and 120,148.58

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Solution

The fourth proportional to 210,807.26, 290,921.52 and 120,148.58 is: 165,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,807.26 : 290,921.52 = 120,148.58 : x
  2. Step 2: Convert to fraction form
    210,807.26/290,921.52 = 120,148.58/x
  3. Step 3: Cross multiply
    210,807.26x = 290,921.52 × 120,148.58
  4. Step 4: Simplify right side
    210,807.26x = 34,953,808,697.30
  5. Step 5: Solve for x
    x = 34,953,808,697.30/210,807.26
  6. Step 6: Final answer
    x = 165,809.32

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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.