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Finding the Fourth Proportional to 153,210, 211,429.80 and 86,142

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Solution

The fourth proportional to 153,210, 211,429.80 and 86,142 is: 118,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,210 : 211,429.80 = 86,142 : x
  2. Step 2: Convert to fraction form
    153,210/211,429.80 = 86,142/x
  3. Step 3: Cross multiply
    153,210x = 211,429.80 × 86,142
  4. Step 4: Simplify right side
    153,210x = 18,212,985,831.60
  5. Step 5: Solve for x
    x = 18,212,985,831.60/153,210
  6. Step 6: Final answer
    x = 118,875.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.