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Finding the Fourth Proportional to 153,493.93, 210,287.45 and 147,741.20

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Solution

The fourth proportional to 153,493.93, 210,287.45 and 147,741.20 is: 202,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,493.93 : 210,287.45 = 147,741.20 : x
  2. Step 2: Convert to fraction form
    153,493.93/210,287.45 = 147,741.20/x
  3. Step 3: Cross multiply
    153,493.93x = 210,287.45 × 147,741.20
  4. Step 4: Simplify right side
    153,493.93x = 31,068,118,417.80
  5. Step 5: Solve for x
    x = 31,068,118,417.80/153,493.93
  6. Step 6: Final answer
    x = 202,406.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.