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Finding the Fourth Proportional to 210,837.54, 316,298.64 and 77,718.48

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Solution

The fourth proportional to 210,837.54, 316,298.64 and 77,718.48 is: 116,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,837.54 : 316,298.64 = 77,718.48 : x
  2. Step 2: Convert to fraction form
    210,837.54/316,298.64 = 77,718.48/x
  3. Step 3: Cross multiply
    210,837.54x = 316,298.64 × 77,718.48
  4. Step 4: Simplify right side
    210,837.54x = 24,582,249,526.87
  5. Step 5: Solve for x
    x = 24,582,249,526.87/210,837.54
  6. Step 6: Final answer
    x = 116,593.32

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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.