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Finding the Fourth Proportional to 210,386.82, 315,583.02 and 70,145.49

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Solution

The fourth proportional to 210,386.82, 315,583.02 and 70,145.49 is: 105,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,386.82 : 315,583.02 = 70,145.49 : x
  2. Step 2: Convert to fraction form
    210,386.82/315,583.02 = 70,145.49/x
  3. Step 3: Cross multiply
    210,386.82x = 315,583.02 × 70,145.49
  4. Step 4: Simplify right side
    210,386.82x = 22,136,725,573.58
  5. Step 5: Solve for x
    x = 22,136,725,573.58/210,386.82
  6. Step 6: Final answer
    x = 105,219.17

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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.