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Finding the Fourth Proportional to 210,742.84, 316,048.50 and 70,468.72

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Solution

The fourth proportional to 210,742.84, 316,048.50 and 70,468.72 is: 105,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,742.84 : 316,048.50 = 70,468.72 : x
  2. Step 2: Convert to fraction form
    210,742.84/316,048.50 = 70,468.72/x
  3. Step 3: Cross multiply
    210,742.84x = 316,048.50 × 70,468.72
  4. Step 4: Simplify right side
    210,742.84x = 22,271,533,252.92
  5. Step 5: Solve for x
    x = 22,271,533,252.92/210,742.84
  6. Step 6: Final answer
    x = 105,681.09

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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.