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Finding the Fourth Proportional to 210,651.72, 316,018.62 and 77,533.08

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Solution

The fourth proportional to 210,651.72, 316,018.62 and 77,533.08 is: 116,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,651.72 : 316,018.62 = 77,533.08 : x
  2. Step 2: Convert to fraction form
    210,651.72/316,018.62 = 77,533.08/x
  3. Step 3: Cross multiply
    210,651.72x = 316,018.62 × 77,533.08
  4. Step 4: Simplify right side
    210,651.72x = 24,501,896,945.95
  5. Step 5: Solve for x
    x = 24,501,896,945.95/210,651.72
  6. Step 6: Final answer
    x = 116,314.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.