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Finding the Fourth Proportional to 147,157.72, 203,071.53 and 83,499.01

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Solution

The fourth proportional to 147,157.72, 203,071.53 and 83,499.01 is: 115,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,157.72 : 203,071.53 = 83,499.01 : x
  2. Step 2: Convert to fraction form
    147,157.72/203,071.53 = 83,499.01/x
  3. Step 3: Cross multiply
    147,157.72x = 203,071.53 × 83,499.01
  4. Step 4: Simplify right side
    147,157.72x = 16,956,271,714.19
  5. Step 5: Solve for x
    x = 16,956,271,714.19/147,157.72
  6. Step 6: Final answer
    x = 115,225.16

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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.