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Finding the Fourth Proportional to 210,477.18, 315,718.47 and 70,235.82

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Solution

The fourth proportional to 210,477.18, 315,718.47 and 70,235.82 is: 105,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,477.18 : 315,718.47 = 70,235.82 : x
  2. Step 2: Convert to fraction form
    210,477.18/315,718.47 = 70,235.82/x
  3. Step 3: Cross multiply
    210,477.18x = 315,718.47 × 70,235.82
  4. Step 4: Simplify right side
    210,477.18x = 22,174,745,629.60
  5. Step 5: Solve for x
    x = 22,174,745,629.60/210,477.18
  6. Step 6: Final answer
    x = 105,354.63

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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.