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Finding the Fourth Proportional to 210,457.36, 315,763.80 and 77,424.58

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Solution

The fourth proportional to 210,457.36, 315,763.80 and 77,424.58 is: 116,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,457.36 : 315,763.80 = 77,424.58 : x
  2. Step 2: Convert to fraction form
    210,457.36/315,763.80 = 77,424.58/x
  3. Step 3: Cross multiply
    210,457.36x = 315,763.80 × 77,424.58
  4. Step 4: Simplify right side
    210,457.36x = 24,447,879,594.20
  5. Step 5: Solve for x
    x = 24,447,879,594.20/210,457.36
  6. Step 6: Final answer
    x = 116,165.48

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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.