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Finding the Fourth Proportional to 210,866.08, 316,018.32 and 77,623.24

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Solution

The fourth proportional to 210,866.08, 316,018.32 and 77,623.24 is: 116,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,866.08 : 316,018.32 = 77,623.24 : x
  2. Step 2: Convert to fraction form
    210,866.08/316,018.32 = 77,623.24/x
  3. Step 3: Cross multiply
    210,866.08x = 316,018.32 × 77,623.24
  4. Step 4: Simplify right side
    210,866.08x = 24,530,365,897.76
  5. Step 5: Solve for x
    x = 24,530,365,897.76/210,866.08
  6. Step 6: Final answer
    x = 116,331.49

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1.5x scale

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.