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Finding the Fourth Proportional to 158,020, 237,030.02 and 47,212

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Solution

The fourth proportional to 158,020, 237,030.02 and 47,212 is: 70,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,020 : 237,030.02 = 47,212 : x
  2. Step 2: Convert to fraction form
    158,020/237,030.02 = 47,212/x
  3. Step 3: Cross multiply
    158,020x = 237,030.02 × 47,212
  4. Step 4: Simplify right side
    158,020x = 11,190,661,304.24
  5. Step 5: Solve for x
    x = 11,190,661,304.24/158,020
  6. Step 6: Final answer
    x = 70,818.01

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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.