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Finding the Fourth Proportional to 210,675.02, 316,137.33 and 77,648.72

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Solution

The fourth proportional to 210,675.02, 316,137.33 and 77,648.72 is: 116,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,675.02 : 316,137.33 = 77,648.72 : x
  2. Step 2: Convert to fraction form
    210,675.02/316,137.33 = 77,648.72/x
  3. Step 3: Cross multiply
    210,675.02x = 316,137.33 × 77,648.72
  4. Step 4: Simplify right side
    210,675.02x = 24,547,657,438.03
  5. Step 5: Solve for x
    x = 24,547,657,438.03/210,675.02
  6. Step 6: Final answer
    x = 116,519.07

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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.