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Finding the Fourth Proportional to 189,021.96, 260,796.18 and 112,477.08

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Solution

The fourth proportional to 189,021.96, 260,796.18 and 112,477.08 is: 155,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,021.96 : 260,796.18 = 112,477.08 : x
  2. Step 2: Convert to fraction form
    189,021.96/260,796.18 = 112,477.08/x
  3. Step 3: Cross multiply
    189,021.96x = 260,796.18 × 112,477.08
  4. Step 4: Simplify right side
    189,021.96x = 29,333,592,801.55
  5. Step 5: Solve for x
    x = 29,333,592,801.55/189,021.96
  6. Step 6: Final answer
    x = 155,186.16

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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.