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Finding the Fourth Proportional to 210,852.83, 291,023.62 and 145,533.38

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Solution

The fourth proportional to 210,852.83, 291,023.62 and 145,533.38 is: 200,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,852.83 : 291,023.62 = 145,533.38 : x
  2. Step 2: Convert to fraction form
    210,852.83/291,023.62 = 145,533.38/x
  3. Step 3: Cross multiply
    210,852.83x = 291,023.62 × 145,533.38
  4. Step 4: Simplify right side
    210,852.83x = 42,353,649,259.48
  5. Step 5: Solve for x
    x = 42,353,649,259.48/210,852.83
  6. Step 6: Final answer
    x = 200,868.30

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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.